What is the probability of a couple having six girls in a row?

1 Answer
Mar 23, 2016

The probability of having six girls in a row would be
#1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = (1/2)^6 = 1/64# or #0.0156 or 1.56%#

Explanation:

The probability of having a girl is #1/2# or #50%#
boy or girl

The probability of having two girls is #1/2 x 1/2 = 1/4# or #25%#
girl & girl
girl & boy
boy & girl
boy & boy

The probability of having six girls in a row would be
#1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = (1/2)^6 = 1/64# or #0.0156 or 1.56%#